Long-considered one of the best-written titles on the subject, this text is aimed at the abstract or modern algebra course taken by junior and senior math majors and many secondary math education majors. A mid-level approach, this text features clear prose, an intuitive and well-motivated approach, and exercises organized around specific concepts.

Table of Contents

1 Why Abstract Algebra?

History of Algebra. New Algebras. Algebraic Structures. Axioms and Axiomatic Algebra. Abstraction in Algebra.

2 Operations

Operations on a Set. Properties of Operations.

3 The Definition of Groups

Groups. Examples of Infinite and Finite Groups. Examples of Abelian and Nonabelian Groups. Group Tables.